The turbo brush is only suitable for carpets and works only moderately on parquet or hard floors.
The parquet brush, on the other hand, I can highly recommend for parquet. This brush is much wider than the other two brushes and works perfectly on parquet. It also copes with all kinds of hair from dogs and cats without any problems. However, the parquet brush cannot be used on carpets because it has no rollers and the brushes are fixed in place.

So if you don't have any carpets, the parquet brush is enough for you.